A note on regularity criterion for the 3D Boussinesq system with zero thermal conductivity

被引：18

作者：

Geng, Jinbo ^{[1
]}

Fan, Jishan ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 01期

关键词：

Boussinesq system; Regularity criterion; Partial viscosity; PARTIAL VISCOSITY; EQUATIONS;

D O I：

10.1016/j.aml.2011.07.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we prove a regularity criterion u is an element of L(2/1+r) (0, T: (B) over dot(infinity,infinity)(r)) (-1 < r < 1, r not equal 0) for the 3D Boussinesq system with zero thermal conductivity. Here u is the velocity, (B) over dot(infinity,infinity)(-r) denotes the homogeneous Besov space. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：63 / 66

页数：4

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